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Finding the Fourth Proportional to 12,574.24, 17,352.78 and 7,539.28

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Solution

The fourth proportional to 12,574.24, 17,352.78 and 7,539.28 is: 10,404.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,574.24 : 17,352.78 = 7,539.28 : x
  2. Step 2: Convert to fraction form
    12,574.24/17,352.78 = 7,539.28/x
  3. Step 3: Cross multiply
    12,574.24x = 17,352.78 × 7,539.28
  4. Step 4: Simplify right side
    12,574.24x = 130,827,467.20
  5. Step 5: Solve for x
    x = 130,827,467.20/12,574.24
  6. Step 6: Final answer
    x = 10,404.40

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.